Circular orbital rendezvous with actuator saturation and delay: a parametric Lyapunov equation approach

An off‐policy approach for model‐free stabilization of linear systems subject to input energy constraint and its application to spacecraft rendezvous

“…And all of these three design methods can be used to stabilize the linear systems subject to input saturation. In addition, the parametric Lyapunov matrix equation‐based design method has been proved to be able to deal with the problem of stabilization linear system with input time‐delay and the problem of stabilization of linear periodic time‐varying systems …”

Robust stabilization of T–S fuzzy discrete systems with actuator saturation via PDC and non-PDC law

“…However, majority of actuators are not strictly accord with linearity, most of them subject to saturation in real physical systems. During the past several decades, control systems with actuator saturation have received much attention, see for examples Hu et al, (2001Hu et al, ( , 2002; Zhou, Zheng, et al, (2011);Zhou et al, (2012); ;Yang, et al, ( , 2015, and the references therein. The analysis and synthesis of T-S fuzzy systems with actuator saturation nonlinearities have received increasing attention recently (see, e.g., Ozgoli et al, (2009);Kim et al, (2009), and the references therein).…”

Autonomous spacecraft rendezvous with finite time convergence

“…the poles of the closed-loop system are placed at desired regions. To tackle the rendezvous problem with actuator saturation and time-delay, a new rendezvous control law was designed in [11] based on the newly developed unified parametric Lyapunov equation (PLE) [12][13][14] approach. Gao [15] studied a non-fragile robust H ∞ control law for uncertain spacecraft rendezvous system with pole and input constraints.…”